Zealous Zhukovsky

Calculus Level 3

Let z z denote a complex number. If w = z + 1 z w = z + \dfrac{1}{z} maps ∣ z ∣ = 2 |z| = 2 onto the curve, evaluate its area.

9 4 π \dfrac{9}{4}\pi 15 4 π \dfrac{15}{4}\pi 25 4 π \dfrac{25}{4}\pi It cannot be determined. The area exists, but neither of the choices given.

Michael Huang by Michael Huang , 29, USA

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1 solution

Jason Gomez
Feb 6, 2021

3 Helpful 2 Interesting 6 Brilliant 0 Confused

How can be one hundred twenty-one (121) can be equal to two(2)?

It is an absolute value .

Not 121=2, it is |2|=2.

It looks like trapping me.

. . - 2 months, 2 weeks ago

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That was |z|=2, faults on me, my handwriting is quite bad

Jason Gomez - 2 months, 2 weeks ago

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I cannot write my country's words well. I am better at writing English than writing my country's language.

So, you are better than me.

. . - 2 months, 2 weeks ago

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